Answer:
15.5
Step-by-step explanation:
CAH
cos=adj/hyp
cos60= x/31
0.5=x/31
x= 15.5
Use the linear combination method to solve this system of equations. What is the value of x? A. Negative 2.4 x minus 3.6 y = 1.2. 2.4 x + 1.2 y = 1.2. B. Negative 1 C. 0 D. 1
Answer:
x=1 , y = -1
Step-by-step explanation:
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
Add the equations together
-2.4x-3.6y = 1.2
2.4x+1.2y = 1.2
---------------------------
-2.4 y = 2.4
Divide by -2.4
y = -1
Now find x
2.4x +1.2y = 1.2
2.4x +1.2(-1) = 1.2
2.4x -1.2 = 1.2
Add 1.2 to each side
2.4x -1.2+1.2 = 1.2+1.2
2.4x = 2.4
Divide by 2.4
x = 1
Answer:
x=1
Step-by-step explanation:
2+2=4 then what is 4+4 ps. just get some brainly points
Answer:
8
Step-by-step explanation:
because yes.
Given that tan θ = –8∕15 and θ is in quadrant IV, find sin θ. Question 19 options: A) 15∕17 B) –15∕17 C) –8∕17 D) 8∕17
Answer: C
Step-by-step explanation:
In the quadrant IV, it is only a cos θ that is positive.
Given that tan θ = –8∕15
Where tan θ = opposite ÷ adjacent
Where opposite = 8 and adjacent = 15
We can find the hypothenus by using pythagorean theorem
Hypothenus = sqrt(15^2 + 8^2)
Hypothenus = sqrt(289)
Hypothenus = 17.
Sin θ = opposite ÷ hypothenus
Sin θ = 8/17
Since Sin θ is also negative in the fourth quadrant, therefore
Sin θ = - 8/17
Option C is correct.
Find the value of y.
Answer:
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Step-by-step explanation:
We are working with 30-60-90 triangles, and to solve for y we need to know the hypotenuse of the smaller triangle.
You can get that by finding the smaller value of the larger triangle.
[tex]\frac{8}{\sqrt{3} } =\frac{x}{1}[/tex]
x[tex]\sqrt{3}[/tex] = 8
x = [tex]\frac{8}{\sqrt{3} }[/tex]
x = [tex]\frac{8\sqrt{3} }{3}[/tex]
That is the hypotenuse of the smaller triangle. To find y...
[tex]\frac{(\frac{8\sqrt{3} }{3}) }{2} =\frac{y}{1}[/tex]
2y = [tex]\frac{8\sqrt{3} }{3}[/tex]
y = [tex]\frac{4\sqrt{3} }{3}[/tex]
Hope this helps!
What is the surface area of a right cylinder which has a base with radius 9 units and has a height of 12 units?
Answer: C
Step-by-step explanation:
The formula for surface area of a cylinder is A=2πrh+2πr². Since we know the radius and height, we can directly plug it into this formula to find surface area.
A=2π(9)(12)+2π(9²)
A=2π(108)+2π(81)
A=216π+162π
A=378π
A=1186.92 units²
The
is calculated by putting the data in
order and selecting the middle value.
The
is the data value that occurs the
most in a set of data.
The
is the difference between the
maximum and minimum values of a data set.
The
is the sum of the data divided by
the number of data values.
The answer choices are mean, median, Mode, range.
Answer:
median, mode, range, mean
Step-by-step explanation
the median is found by putting the data in order and selecting the middle value
the mode is the value that occurs the most often
the range is the difference between the greatest and least value
and the mean is the sum of all the values divided by the number of values
Answer:
The ✔ median is calculated by putting the data in order and selecting the middle value.
The ✔ mode is the data value that occurs the most in a set of data.
The ✔ range is the difference between the maximum and minimum values of a data set.
The ✔ mean is the sum of the data divided by the number of data values.
Students were asked how many pairs of shoes they owned. Their responses were 8, 2, 1, 5, 7, 6, 2, 2, 8, and 3.
The mean of the data is 4.4.
The median of the data is 4 .
The mode of the data is 2 .
The range of the data is 7 .
Step-by-step explanation:
Just took the test from E D G E N U I T Y....
hope this helps :P
A bridge constructed over a bayou has a supporting arch in the shape of an inverted parabola. Find the equation of the parabolic arch if the length of the road over the arch is 100 meters and the maximum height of the arch is 40 meters.
Answer:
y = (-2/125)(x - 50)² + 40
Step-by-step explanation:
The total length of the bridge is 100 meters.
Maximum height always occurs at midpoint of x.
So for x=50 meters , y = 40 meters.
As the vertex is given at the maximum height, Vertex can be defined at the point (50,40)
We know that the general equation for vertical parabola is:
y = a(x - h)² + k
Where (h,k) = Vertex = (50,40)
Substitute in the equation:
y = a(x - 50)² + 40 ⇒ Equation (i)
We know 2 more points on the parabola. We know that when x=0 , y=0 and we also know that when x=100m, y=0 meters.
Substitute any point in the above equation
Substituting (100,0) in the equation
0 = a(100 - 50)² +40
Solve the equation for a:
a = - 2/125
Substitute a in Equation (i)
y = (-2/125)(x - 50)² + 40
A can holds 2 liters of paint. How many cans can we fill with 11 liters of paint?
Answer:
5.5
Step-by-step explanation:
Each can holds 2 liters of paint. There is 11 liters of paint. The question is asking you to figure out how many cans of paint you can fill with 11 liters of paint. We can divide 11 by 2 to get the answer. 11÷2=5.5. The reason this works is because we are dividing the total amount of paint by how much each can will hold. 5.5 can also be written as "five and a half". So, the 11 liters of paint will fill 5.5 cans. Hope this helps!
ΔABC has been translated right to create triangle ΔXYZ. Based on this information, which of the following is a true statement? answers: A) ≅ B) ≅ C) ∠A ≅ ∠C D) ∠B ≅ ∠X
Answer:
None. (or B)
Step-by-step explanation:
A) AC≅ZY
B) AZ≅
C) ∠A ≅ ∠C
D) ∠B ≅ ∠X
Options C and D are not true and Options A is wrong and B is incomplete but using process of elimination, the answer is probably B.
The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
What is translation transformation?A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Given that, Δ ABC has been translated right to create triangle Δ XYZ
We know that in translation transformation, in translation, only the position of the object changes, its size remains the same.
That means Δ ABC ≅ Δ XYZ Therefore, we get,
Congruent parts are;
Angles:-
∠ A ≅ ∠ X,
∠ B ≅ ∠ Y and
∠ C ≅ ∠ Z
Side:-
AB ≅ XY,
BC ≅ YZ and
AC ≅ XZ
Hence, The resulting information will be ∠ A ≅ ∠ X, ∠ B ≅ ∠ Y and ∠ C ≅ ∠ Z and AB ≅ XY, BC ≅ YZ and AC ≅ XZ
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The chef in a restaurant makes a large kettle of soup each day. The restaurant sells the soup in different-sized bowls.
At 7 p.m the kettle contains 20 3/8 cups of soup. A server scoops 5/8 cup from the kettle into a small bowl. How many cups of soup are left in the kettle?
Answer: 79/4
Step-by-step explanation:
The kettle contains 20 3/8 cups of soup = 163/8 cups
A server scoops 5/8 cup from the kettle
So,
163/8 - 5/8 = 158/8 = 79/4
Choose the correct conversion of 25 grams to milligrams. A. 0.025 B. 0.25 C. 250 D. 25,000
Answer:25000 because 1 m is equal to 1000mm
PLEASE MARK ME AS BRAINLIEST
Si Luis paga 1546 centavos de los 1290 dólares que debía ¿cuánto le falta pagar?
Luis debia 12900 centavos y paga 1546 centavas entonces el todavía debe 11354 centavos
Can somebody help me with this one. It says use the vertical line test to determine which graph represents a function
Answer:
Only option C shows a function
Step-by-step explanation:
The vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x. This means that a vertical line made in the domain of the function can crosses the curve of the function only once. If it crosses the curve of the function more than once, then the curve is not a function.
In option A, a vertical line would cross two values, so it is not a function.
The curve of option B is a vertical line itself, so a vertical line would intersect an infinite amount of points; then it is not a function.
Option C is a function because a vertical line would only intersect the function's curve (which is a line) once.
Why is the median listed at 55 when none of the data points is 55?
Answer: If there is an even amount of numbers in the list, the median is the average of the two middle most numbers, once they are in least to greatest.
Step-by-step explanation:
Marco has a sandbox that is 3 feet long, 5 feet wide, and
foot deep. How many cubic feet of sand does he need to fill the
sandbox completely?
Answer:
Choice D
Step-by-step explanation:
[tex]3\dfrac{1}{2}\cdot 5 \cdot \dfrac{1}{2}= 3.5\cdot 5\cdot 0.5=8.75 = 8\dfrac{3}{4}[/tex]
Hope this helps!
Cubic feet would be volume.
Volume = length x width x height
Volume = 3 1/2 x 5 x 1/2 = 8 3/4 cubic feet.
Compute the permutations and combinations. A company has 10 men qualified to run a machine that requires 3 operators at a time. Find how many groups of 3 operators are possible. 240 720 120
Answer:
120
Step-by-step explanation:
To solve this question we would be using combination formula.
The formula for combination is given as:
C(n, r) = nCr
nCr = n!/r! ×(n - r)!
In the above question,
n = 10 men
r = 3 operators
Hence,
nCr = n!/r! × (n - r)!
10C3 = 10! /3! × (10 - 3)!
10C3 = 10!/3! × 7!
10C3 = 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 /(3 × 2× 1 ) ×(7 × 6 × 5 × 4 × 3 × 2 × 1)
10C3 = 10 × 9 × 8 / 3 × 2× 1
10C3 = 720/6
10C3 = 120
Therefore, the number of groups of 3 operators that are possible is 120.
Calculate the mean, median and mode of the following data.
14, 15, 16, 16, 9, 3, 16, 20, 29, 12
a. mean = 14.75, median = 15 mode = 16
b. mean = 15, median = 16, mode = 16
c. mean = 14.889, median = 16, mode= 16
d. mean =15, median =15.5, mode = 16
Answer:
d.mean =15, median =15.5, mode = 16
Step-by-step explanation:
hello,
to find the mean, you add all the numbers together and divide it by the total number of numbers. so that would be 150 (total sum) divided by 10 (number of numbers) to get 15.
to find the median, you would organize the numbers from least to greatest and find the middle number which is 15.5.
last but not least, to find the mode, just look for the number that appears most often. Therefore, the mode would be 16.
hope this helped!
Which system of inequalities has a solution set that is a line?
[x+y23
[x+y s3
[x+y2-3
Extysa
0
[x+y>3
(x + y <3
(x+y> -3
(x+y<3
Answer:
x + y ≥ 3
x + y ≤ 3
Step-by-step explanation:
In the picture attached, the problem is shown.
The solution to the system:
x + y ≥ 3
x + y ≤ 3
is the line x + y = 3
In order to get a solution to a system of inequalities that is a line, we need the same equation on the left (here, x + y), the same constant on the right (here, 3), and the ≥ sign in one inequality and the sign ≤ in the other one.
The probability of an outcome that lies within 95% of the mean is a good indicator that it lies in which standard deviation?
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
Answer:
answer b
Step-by-step explanation:
Answer b is definitely the correct one.
The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
We have given that,
a. There is a probability that the outcome is within 1 standard deviation of the mean.
b. There is a probability that the outcome is within 2 standard deviations of the mean.
c. Standard deviations are not reliable, so the probability cannot be determined.
d. There is a probability that the outcome is within 3 standard deviations of the mean.
What is the Empirical Rule state?The Empirical Rule states that 68% of normally distributed data lies within 1 standard deviation of the mean; 95% within 2 standard deviations, and 99.9% within 3.
The probability of an outcome that lies within 95% of the mean is a good indicator b is definitely the correct one.
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2. Which of the following methods can't be used to find the zeros of a function?
options:
A. Substitute x = 0 in the function and solve for f(x).
B. Graph the function using a table of values.
C. Factor the function and apply the zero-product property to its factors.
D. Apply the quadratic formula.
Answer:
The correct option is;
Substitute x = 0 in the function and solve for f(x)
Step-by-step explanation:
The zeros of a function are the values of x which produces the value of 0 when substituted in the function
It is the point where the curve or line of the function crosses the x-axis
A. Substituting x = 0 will only give the point where the curve or line of the function crosses the y-axis,
Therefore, substituting x = 0 in the function can't be used to find the zero's of a function
B. Plotting a graph of the table of values of the function will indicate the zeros of the function or the point where the function crosses the x-axis
C. The zero product property when applied to the factors of the function equated to zero can be used to find the zeros of a function
d, The quadratic formula can be used to find the zeros of a function when the function is written in the form a·x² + b·x + c = 0
Answer: Substitute x = 0 in the function and solve for f(x).
Step-by-step explanation:
(a) The perimeter of a rectangular parking lot is 332 m.
If the width of the parking lot is 75 m, what is its length?
Length of the parking lot:
m
Answer:
Step-by-step explanation:
Perimeter of the rectangle = 332m
Perimeter of a rectangle = 2(L+b)
Breadth = 75m
= 2 ( L + 75) = 332
2L + 150 = 332
2L = 332-150
L = 182/2
L= 91m
These triangles are NOT similar! Why not?
Use calculations AND words to explain.
Answer:
Similar triangles are (roughly speaking) triangles that have the same angles and the same ratio of the length of their sides
We can use ratios to show that the triangles are not similar
14:20 as a fraction is 14/20 as a decimal is 0.7
12:16 as a fraction is 12/16 as a decimal is 0.75
The side lengths are not the same proportion as shown by the different decimal, so the triangles are not similar
Solve the inequality. 3(7z + 1) less than 3 The solution set is z | ?
Answer:
z=1
Step-by-step explanation:
3x7z+1
21z+3
divided by 3
7z
divide by 7
z=1
Answer:
Z<0
Step-by-step explanation:
21z+3<3
21z<3-3
21z<0
Z<0
Claculate the height (x) of the tree.
Round your answer to the nearest foot and enter your answer
without units.
Answer:
50√3/3
Step-by-step explanation:
30-60-90 triangle
50:x = 2sqrt3 : 2
50*2 =100
100/2sqrt3 = 3
50√
3
Please mark me brainiest..
On Wednesday, a local hamburger shop sold a combined total of 372 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Wednesday?
Answer:
93 hamburgers
Step-by-step explanation:
let cheeseburgers=c
let hamburgers=h
c=3h
c+h=372
Substitute c for 3h
3h+h=372
4h=372
h=93
c=h*3=93*3=279
279 cheeseburgers 93 hamburgers
SOMEONE PLEASE HELP ME ASAP PLEASE!!!
Answer:B.
Step-by-step explanation:
Which is the equation of the parabola?
coordinate plane with a parabola facing up with vertex at 4 comma 2, the point 4 comma 6 and a horizontal line going through 0 comma negative 2
y = one sixteenth(x − 4)2 + 2
y = one sixteenth(x + 4)2 − 2
y = −one sixteenth(x − 2)2 + 4
y = −one sixteenth(x + 2)2 − 4
Answer: y = one sixteenth(x − 4)^2 + 2
Step-by-step explanation:
If the parabola is written as:
y = a*x^2 + b*x + c
then if the graph opens up, then a must be positive, so we can discard the third and fourth options, we remain with:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
y = 1/6*(x + 4)^2 - 2 = 1/6x^2 + (8/6)*x + (16/6 - 2)
the vertex (4, 2)
then
x = -b/2a = 4.
this means that a and b must be of different sign, then the only correct option can be:
y = 1/6*(x - 4)^2 + 2 = 1/6x^2 - (8/6)*x + (16/6 + 2)
where:
x-vertex = (8/6)/(2/6) = 4 as we wanted.
when we evaluate this function in x = 4 we get
y = 1/6*( 4 - 4)^2 + 2 = 2.
So the correct option must be: y = one sixteenth(x − 4)2 + 2
Answer: The correct answer is the first answer, a. y = one sixteenth(x − 4)2 + 2
Use the interactive to graph a line with the given points: (–1,7) and (1,–1) The coordinates of the y-intercept of the line are.
Answer:
The y-intercept would be 6.25
Step-by-step explanation:
I found this by taking the two points and making it into a y = mx + b line.
Answer:
(0,3)
Step-by-step explanation:
We can use the slope-intercept form to find the y-intercept.
First, we need to find the slope of the line.
We are given the points (-1,7) and (1,-1).
[tex]m=\frac{rise}{run}=\frac{-1-7}{1+1}=\frac{-8}{2}=-4[/tex]
The slope is -4.
Slope-intercept is [tex]y=mx+b[/tex].
We can replace 'y' and 'x' with one of the points given, 'm' with the slope, and solve for 'b'. "B" would be the y-intercept.
I will use (-1,7):
[tex]7=-4(-1)+b\\\\7=4+b\\\\7-4=4-4+b\\\\\boxed{3=b}[/tex]
The line's equation is [tex]y=-4x+3[/tex].
Therefore, the y-intercept is '3'. The coordinates of the y-intercept is (0,3).
Choose the correct conversion of 42 grams to milligrams. A. 0.042 B. 0.42 C. 420 D. 42,000
Answer:
42,000 mg
Step-by-step explanation:
multiply the mass value by 1000
42K thats all--------------------
Determine the vertical asymptote for the rational function f(x) = x-4 over 3x +2
Answer: (b) x = -2/3
Step-by-step explanation:
The vertical asymptote is the restriction on x.
The denominator cannot be equal to zero so that it the restriction.
Set the denominator equal to zero and solve for x to find the asymptote.
3x + 2 = 0
3x = -2
x = -2/3